A theorem concerning Ditkin's condition
Larsen, R. (1971)
Portugaliae mathematica
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Larsen, R. (1971)
Portugaliae mathematica
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Sinclair and Tullo [6] proved that noetherian Banach algebras are finite-dimensional. In [3], Grabiner studied noetherian Banach modules. In this paper, we are concerned with alternative noetherian Banach algebras. Combining techniques from [3] with techniques and the result from [6], we prove that every alternative noetherian Banach algebra is finite-dimensional.
W. Żelazko (1972)
Studia Mathematica
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